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3 years ago

Write a statement that makes sense

Mathematics

2 answers:

Vadim26 [7]3 years ago

8 0

What statement?
Where is the he statement?

klemol [59]3 years ago

6 0

What's the statement do we have to make one up or what.

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Solve the following system of equations 2x – 3y = 6 4x+2y=4

FinnZ [79.3K]

Answer:

$\boxed{(\frac{3}{2} ,-1)}$

Step-by-step explanation:

$\left \{ {{2x-3y=6} \atop {4x+2y=4}} \right.$

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).

Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

$2x-3y=6 \rightarrow -4x+6y=-12$

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

$\left \{ {{-4x+6y=-12} \atop {4x+2y=4}} \right.$

The -4x and 4x are opposites, so they cancel out.

Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

$8y=-8$

Divide both sides by 8.

$y=-1$

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

$4x +2(-1)=4$

Simplify.

$4x -2=4$

Add 2 to both sides.

$4x=6$

Divide both sides by 4.

$x=\frac{6}{4} \rightarrow\frac{3}{2}$

The final answer is $x=\frac{3}{2} ,~y=-1$ .

$(\frac{3}{2} ,-1)$

5 0

3 years ago

In the triangle below, what is the length of the side opposite the 60° angle?

liubo4ka [24]

3SQRT(3). It is equal to the short side time Square Root of 3.

8 0

3 years ago

Read 2 more answers

A flagpole is 25 feet tall. A rope is tied to the top of the flagpole and secured to the ground 16 feet from the base of the fla

Lerok [7]

As for the drawing, help yourself.

P. theorem -- a^2 + b^2 = c^2
a = 25
b = 16

so 25^2 + 16^2 = c^2
c^2 = 881
c = sqrt881

8 0

3 years ago

5(2r+6)-12r ; Simplify

Alik [6]

First, use distributive property:

5(2r+6)-12r The original expression; multiply 5 by 2r, and 5 by 6.

10r+30-12r Keep the -12r, just add it on to the end of the number(s) you found

Next, use communitive property:

10r+30-12r What we found in the previous step

-2r+30 Combine the like terms; 10r-12r=-2r, then place the 30 at the end

Done! Your answer is -2r+30.

Hope that helps!

7 0

3 years ago

Can you help me with this question?

LiRa [457]

269 is the answer. If you divide the number538 by 2 you get 269. You can check it by 1076/2 which equals 538.

4 0

3 years ago

Read 2 more answers